Finite Group Databasebeta

← Group #10853314

Character table — Group #10853314

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222244444444444444444444444444444444444444888888888888888888888812121212242424242424242424244848
order12222222344444444666666612121212121212124444448888888812121212121212122424242424242424242424242424242422444466661212121212121212121212124444444444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ61111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ911111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11-111-1-11-1
χ1011111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-11-1-111-11
χ1111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-11-1-1-111-11
χ1211111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1111-1-11-1
χ1311111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1111-111-1-1-11
χ1411111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-11-1-1111-1
χ1511111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1111-1
χ1611111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-1-11
χ17222222222-2-22222-2-2222222222222222-2-2000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000022220000-2-2000000
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χ19222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222000000000000-2-22222-2-20000000000000000000000000000000000000022-2-20000-22000000
χ20222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222000000000000-2-22222-2-200000000000000000000000000000000000000-2-22200002-2000000
χ2122222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-1-1-1-111111111-1-1-1-10000000000000000
χ2322222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111110000000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222221111-1-1-1-1-1-1-1-111110000000000000000
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-111111111-2-222222222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-222-2-21111-1-1-1-11111-1-1-1-10000000000000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-111111111-2-22222-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1-1-1-1-10000000000000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-2-2-22222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-11111111122-2-222-1-1-1-11111-1-1-1-111110000000000000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-12222-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ29222-22-2-2-222222-2-2-2-2-2-222-2-222222-2-2-2-22-222-2-2000000002222-2-2-2-200000000000000002-2000022-2-20000000022-2-20000000000000000
χ30222-22-2-2-222222-2-2-2-2-2-222-2-222222-2-2-2-22-2-2-222000000002222-2-2-2-20000000000000000-220000-2-22200000000-2-2220000000000000000
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χ37222-22-2-2-2-12222-2-2-2-211-1-111-1-1-1-1-111112-222-2-200000000-1-1-1-111113333−3−3−3−33333−3−3−3−32-20000-1-11133−3−333−3−3-1-1110000000000000000
χ38222-22-2-2-2-12222-2-2-2-211-1-111-1-1-1-1-111112-222-2-200000000-1-1-1-11111−3−3−3−33333−3−3−3−333332-20000-1-111−3−333−3−333-1-1110000000000000000
χ39222-22-2-2-2-12222-2-2-2-211-1-111-1-1-1-1-111112-2-2-22200000000-1-1-1-111113333−3−3−3−33333−3−3−3−3-22000011-1-1−3−333−3−33311-1-10000000000000000
χ40222-22-2-2-2-12222-2-2-2-211-1-111-1-1-1-1-111112-2-2-22200000000-1-1-1-11111−3−3−3−33333−3−3−3−33333-22000011-1-133−3−333−3−311-1-10000000000000000
χ41222-22-2-2-2-122-2-222-2-211-1-111-11111-1-1-1-1-2222-2-200000000-1-111-1-1113333−3−3−3−3−3−3−3−33333-22000011-1-133−3−3−3−333-1-1110000000000000000
χ42222-22-2-2-2-122-2-222-2-211-1-111-11111-1-1-1-1-2222-2-200000000-1-111-1-111−3−3−3−333333333−3−3−3−3-22000011-1-1−3−33333−3−3-1-1110000000000000000
χ43222-22-2-2-2-122-2-222-2-211-1-111-11111-1-1-1-1-22-2-22200000000-1-111-1-1113333−3−3−3−3−3−3−3−333332-20000-1-111−3−33333−3−311-1-10000000000000000
χ44222-22-2-2-2-122-2-222-2-211-1-111-11111-1-1-1-1-22-2-22200000000-1-111-1-111−3−3−3−333333333−3−3−3−32-20000-1-11133−3−3−3−33311-1-10000000000000000
χ4522-22-2-22-222-20000-222-22-22-2-200000000002i−2i2i−2i2i2i−2i−2i00002-200002-22i2i−2i−2i2i2i−2i−2i00000000002-20000002-22-200002i−2i2i−2i0000000000000000
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χ4922-22-2-22-2-12-20000-22-11-11-11133−3−333−3−3002i−2i2i−2i2i2i−2i−2i0000-113−33−3-11−i−iii−i−iii−i3−i3i3i3−i3−i3i3i3002-200−i3i3−i3i3-11-113−33−3−ii−ii0000000000000000
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χ5122-22-2-22-2-12-20000-22-11-11-11133−3−333−3−300−2i2i−2i2i2i2i−2i−2i0000-113−33−3-11−i−iii−i−iii−i3−i3i3i3−i3−i3i3i300-2200i3−i3i3−i31-11-1−33−33i−ii−i0000000000000000
χ5222-22-2-22-2-12-20000-22-11-11-11133−3−333−3−300−2i2i−2i2i−2i−2i2i2i0000-113−33−3-11ii−i−iii−i−ii3i3−i3−i3i3i3−i3−i3002-200i3−i3i3−i3-11-113−33−3i−ii−i0000000000000000
χ5322-22-2-22-2-12-20000-22-11-11-111−3−333−3−333002i−2i2i−2i2i2i−2i−2i0000-11−33−33-11−i−iii−i−iiii3i3−i3−i3i3i3−i3−i3002-200i3−i3i3−i3-11-11−33−33−ii−ii0000000000000000
χ5422-22-2-22-2-12-20000-22-11-11-111−3−333−3−333002i−2i2i−2i−2i−2i2i2i0000-11−33−33-11ii−i−iii−i−i−i3−i3i3i3−i3−i3i3i300-2200i3−i3i3−i31-11-13−33−3−ii−ii0000000000000000
χ5522-22-2-22-2-12-20000-22-11-11-111−3−333−3−33300−2i2i−2i2i2i2i−2i−2i0000-11−33−33-11−i−iii−i−iiii3i3−i3−i3i3i3−i3−i300-2200−i3i3−i3i31-11-13−33−3i−ii−i0000000000000000
χ5622-22-2-22-2-12-20000-22-11-11-111−3−333−3−33300−2i2i−2i2i−2i−2i2i2i0000-11−33−33-11ii−i−iii−i−i−i3−i3i3i3−i3−i3i3i3002-200−i3i3−i3i3-11-11−33−33i−ii−i0000000000000000
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χ6222-2-2-22-22-12-200002-21-1-111-1133−3−3−3−333002i−2i−2i2i0000−2i−2i2i2i-113−3−331-1−i3−i3i3i3i3i3−i3−i3ii−i−i−i−iii0000-22−i3i3i3−i3−333−3-111-1−iii−i0000000000000000
χ6322-2-2-22-22-12-200002-21-1-111-1133−3−3−3−33300−2i2i2i−2i00002i2i−2i−2i-113−3−331-1i3i3−i3−i3−i3−i3i3i3−i−iiiii−i−i0000-22i3−i3−i3i3−333−3-111-1i−i−ii0000000000000000
χ6422-2-2-22-22-12-200002-21-1-111-1133−3−3−3−33300−2i2i2i−2i0000−2i−2i2i2i-113−3−331-1−i3−i3i3i3i3i3−i3−i3ii−i−i−i−iii00002-2i3−i3−i3i33−3−331-1-11i−i−ii0000000000000000
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χ80444-44-4-4-4-2-4-4-4-4444422-2-222-22222-2-2-2-24-400000000000022-2-222-2-2000000000000000000000000000000000000000000000000000000
χ8144-44-4-44-44-4400004-44-44-44-4-40000000000000000000000-440000-44000000000000000000000000000000000000000000000000000000
χ8244-44-4-44-4-2-4400004-4-22-22-2222323−23−232323−23−23000000000000002-2−2323−23232-2000000000000000000000000000000000000000000000000000000
χ8344-44-4-44-4-2-4400004-4-22-22-222−23−232323−23−232323000000000000002-223−2323−232-2000000000000000000000000000000000000000000000000000000
χ8444-4-4-44-444-440000-44-444-4-44-40000000000000000000000-4400004-4000000000000000000000000000000000000000000000000000000
χ8544-4-4-44-44-2-440000-442-2-222-222323−23−23−23−232323000000000000002-2−232323−23-22000000000000000000000000000000000000000000000000000000
χ8644-4-4-44-44-2-440000-442-2-222-22−23−2323232323−23−23000000000000002-223−23−2323-22000000000000000000000000000000000000000000000000000000
χ874-444-44-4-4400000000-44-444-4-400000000000000000022−22−2222000000000000000022−22−2222−222222−2200000000000000000000000000000000000000
χ884-444-44-4-4400000000-44-444-4-4000000000000000000−222222−220000000000000000−222222−2222−22−222200000000000000000000000000000000000000
χ894-444-44-4-4-2000000002-22-2-22223−23−2323−232323−23000000000022−22−2222000000006−6−66−666−6−222−22−2−2200000000000000000000000000000000000000
χ904-444-44-4-4-2000000002-22-2-22223−23−2323−232323−230000000000−222222−2200000000−666−66−6−662−2−22−222−200000000000000000000000000000000000000
χ914-444-44-4-4-2000000002-22-2-222−232323−2323−23−2323000000000022−22−222200000000−666−66−6−66−222−22−2−2200000000000000000000000000000000000000
χ924-444-44-4-4-2000000002-22-2-222−232323−2323−23−23230000000000−222222−22000000006−6−66−666−62−2−22−222−200000000000000000000000000000000000000
χ934-44-4-4-4444000000004-4-44-44-40000000000000022−22−222200000000000022−22−222222−22−22220000000000000000000000000000000000000000000000
χ944-44-4-4-4444000000004-4-44-44-400000000000000−222222−22000000000000−222222−22−222222−220000000000000000000000000000000000000000000000
χ954-44-4-4-444-200000000-222-22-2223−23−232323−23−232300000022−22−2222000000000000−222−2−222−2−666−6−666−600000000000000000000000000000000000000
χ964-44-4-4-444-200000000-222-22-2223−23−232323−23−2323000000−222222−220000000000002−2−222−2−226−6−666−6−6600000000000000000000000000000000000000
χ974-44-4-4-444-200000000-222-22-22−232323−23−232323−2300000022−22−2222000000000000−222−2−222−26−6−666−6−6600000000000000000000000000000000000000
χ984-44-4-4-444-200000000-222-22-22−232323−23−232323−23000000−222222−220000000000002−2−222−2−22−666−6−666−600000000000000000000000000000000000000
χ994-4-444-4-444004-4-4400-4-4-4-44444-44-4-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-4-444-4-44400-444-400-4-4-4-4444-44-444-44-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-444-4-44-2004-4-44002222-2-2-2-22-222-22-20000000000000000000000i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000000000
χ1024-4-444-4-44-2004-4-44002222-2-2-2-22-222-22-20000000000000000000000−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000000000
χ1034-4-444-4-44-200-444-4002222-2-2-22-22-2-22-220000000000000000000000i6−i6i6−i6−i6i6−i6i6−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000000000
χ1044-4-444-4-44-200-444-4002222-2-2-22-22-2-22-220000000000000000000000−i6i6−i6i6i6−i6i6−i6i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000000000
χ1054-4-4-4444-4-2004-44-400-2-22222-2-22-22-22-22000000−2i22i2−2i22i2−2i22i2−2i22i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000000000
χ1064-4-4-4444-4-2004-44-400-2-22222-2-22-22-22-220000002i2−2i22i2−2i22i2−2i22i2−2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000000000
χ1074-4-4-4444-4-200-44-4400-2-22222-22-22-22-22-2000000−2i22i2−2i22i22i2−2i22i2−2i200000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000000000
χ1084-4-4-4444-4-200-44-4400-2-22222-22-22-22-22-20000002i2−2i22i2−2i2−2i22i2−2i22i200000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).